WAEC - Physics (2000 - No. 41)

calculate the inductance of an inductor whose reactance is one ohm at 50 Hz.
2.00 x 10-2H
6.36 x 10-2H
3.18 x 10-3H
4.55 x 10-2H

Explanation

The inductive reactance (X\(_L\)​) of an inductor is given by the formula:

Given: X\(_L\)  = 1\(\Omega\), f = 50Hz

X\(_L\)  = 2πfL

L = \(\frac{1}{2πf}\) =  \(\frac{1}{2π \times50}\) =  \(\frac{1}{100\pi}\) = 3.183 x 10\(^{-3}\)H

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